Least Common Multiple of 34189 and 34194

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 34189 and 34194 by Prime method
• Least Common Multiple of 34189 and 34194 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34189 and 34194. First we will calculate the prime factors of 34189 and 34194.

Prime Factorization of 34189

Prime factors of 34189 are 179,191. Prime factorization of 34189 in exponential form is:

34189 = 179¹×191¹

Prime Factorization of 34194

Prime factors of 34194 are 2, 3, 41,139. Prime factorization of 34194 in exponential form is:

34194 = 2¹×3¹×41¹×139¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34189 and 34194.

LCM(34189,34194) = 2¹×3¹×41¹×139¹×179¹×191¹
LCM(34189,34194) = 1169058666

Factors of 34189

List of positive integer factors of 34189 that divides 34189 without a remainder.

1, 179, 191, 34189

Factors of 34194

List of positive integer factors of 34194 that divides 34194 without a remainder.

1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097, 34194

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34189 and 34194, than apply into the LCM equation.

GCF(34189,34194) = 1
LCM(34189,34194) = ( 34189 × 34194) / 1
LCM(34189,34194) = 1169058666 / 1
LCM(34189,34194) = 1169058666

(i) The LCM of 34194 and 34189 is associative

LCM of 34189 and 34194 = LCM of 34194 and 34189

1. What is the LCM of 34189 and 34194?

Answer: LCM of 34189 and 34194 is 1169058666.

2. What are the Factors of 34189?

Answer: Factors of 34189 are 1, 179, 191, 34189. There are 4 integers that are factors of 34189. The greatest factor of 34189 is 34189.

3. What are the Factors of 34194?

Answer: Factors of 34194 are 1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097, 34194. There are 16 integers that are factors of 34194. The greatest factor of 34194 is 34194.

4. How to Find the LCM of 34189 and 34194?

Answer:

Least Common Multiple of 34189 and 34194 = 1169058666

Step 1: Find the prime factorization of 34189

34189 = 179 x 191

Step 2: Find the prime factorization of 34194

34194 = 2 x 3 x 41 x 139

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1169058666 = 2 x 3 x 41 x 139 x 179 x 191

Step 4: Therefore, the least common multiple of 34189 and 34194 is 1169058666.